$(√(7) +2√(5))/(√(7)-√(5) )\\\\=(√(7) +2√(5))/(√(7)-√(5) )*(√(7) +√(5))/(√(7)+√(5) )\\\\ =((√(7) +2√(5))(√(7) + √(5) ))/((√(7)-√(5))(√(7)+√(5))\\ )\\\\=(17 +3√(35) )/(2)$

Jobin Lawrance answered Feb 20, 2022

by Jobin Lawrance

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Racionaliza √7 + 2√5 ÷√7 −√5

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